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Finding the Fourth Proportional to 446.76, 616.62 and 260.22

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Solution

The fourth proportional to 446.76, 616.62 and 260.22 is: 359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.76 : 616.62 = 260.22 : x
  2. Step 2: Convert to fraction form
    446.76/616.62 = 260.22/x
  3. Step 3: Cross multiply
    446.76x = 616.62 × 260.22
  4. Step 4: Simplify right side
    446.76x = 160,456.86
  5. Step 5: Solve for x
    x = 160,456.86/446.76
  6. Step 6: Final answer
    x = 359.16

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Find fourth proportional to 223.38, 308.31 and 130.11
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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.