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Finding the Fourth Proportional to 560.32, 839.93 and 355.12

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Solution

The fourth proportional to 560.32, 839.93 and 355.12 is: 532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.32 : 839.93 = 355.12 : x
  2. Step 2: Convert to fraction form
    560.32/839.93 = 355.12/x
  3. Step 3: Cross multiply
    560.32x = 839.93 × 355.12
  4. Step 4: Simplify right side
    560.32x = 298,275.94
  5. Step 5: Solve for x
    x = 298,275.94/560.32
  6. Step 6: Final answer
    x = 532.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.