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Finding the Fourth Proportional to 413.19, 569.80 and 265.57

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Solution

The fourth proportional to 413.19, 569.80 and 265.57 is: 366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.19 : 569.80 = 265.57 : x
  2. Step 2: Convert to fraction form
    413.19/569.80 = 265.57/x
  3. Step 3: Cross multiply
    413.19x = 569.80 × 265.57
  4. Step 4: Simplify right side
    413.19x = 151,321.79
  5. Step 5: Solve for x
    x = 151,321.79/413.19
  6. Step 6: Final answer
    x = 366.23

Related Problems

Find fourth proportional to 206.60, 284.90 and 132.79
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.