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Finding the Fourth Proportional to 432.66, 646.05 and 355.78

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Solution

The fourth proportional to 432.66, 646.05 and 355.78 is: 531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.66 : 646.05 = 355.78 : x
  2. Step 2: Convert to fraction form
    432.66/646.05 = 355.78/x
  3. Step 3: Cross multiply
    432.66x = 646.05 × 355.78
  4. Step 4: Simplify right side
    432.66x = 229,851.67
  5. Step 5: Solve for x
    x = 229,851.67/432.66
  6. Step 6: Final answer
    x = 531.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.