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Finding the Fourth Proportional to 462.65, 638.75 and 357.55

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Solution

The fourth proportional to 462.65, 638.75 and 357.55 is: 493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.65 : 638.75 = 357.55 : x
  2. Step 2: Convert to fraction form
    462.65/638.75 = 357.55/x
  3. Step 3: Cross multiply
    462.65x = 638.75 × 357.55
  4. Step 4: Simplify right side
    462.65x = 228,385.06
  5. Step 5: Solve for x
    x = 228,385.06/462.65
  6. Step 6: Final answer
    x = 493.65

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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.