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Finding the Fourth Proportional to 310.50, 463.01 and 288.18

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Solution

The fourth proportional to 310.50, 463.01 and 288.18 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 463.01 = 288.18 : x
  2. Step 2: Convert to fraction form
    310.50/463.01 = 288.18/x
  3. Step 3: Cross multiply
    310.50x = 463.01 × 288.18
  4. Step 4: Simplify right side
    310.50x = 133,428.78
  5. Step 5: Solve for x
    x = 133,428.78/310.50
  6. Step 6: Final answer
    x = 429.72

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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.