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Finding the Fourth Proportional to 466.47, 643.31 and 373.22

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Solution

The fourth proportional to 466.47, 643.31 and 373.22 is: 514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.47 : 643.31 = 373.22 : x
  2. Step 2: Convert to fraction form
    466.47/643.31 = 373.22/x
  3. Step 3: Cross multiply
    466.47x = 643.31 × 373.22
  4. Step 4: Simplify right side
    466.47x = 240,095.90
  5. Step 5: Solve for x
    x = 240,095.90/466.47
  6. Step 6: Final answer
    x = 514.71

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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.