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Finding the Fourth Proportional to 477.61, 715.75 and 216.95

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Solution

The fourth proportional to 477.61, 715.75 and 216.95 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.61 : 715.75 = 216.95 : x
  2. Step 2: Convert to fraction form
    477.61/715.75 = 216.95/x
  3. Step 3: Cross multiply
    477.61x = 715.75 × 216.95
  4. Step 4: Simplify right side
    477.61x = 155,284.19
  5. Step 5: Solve for x
    x = 155,284.19/477.61
  6. Step 6: Final answer
    x = 325.13

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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.