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Finding the Fourth Proportional to 310.15, 462.66 and 288.04

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Solution

The fourth proportional to 310.15, 462.66 and 288.04 is: 429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.15 : 462.66 = 288.04 : x
  2. Step 2: Convert to fraction form
    310.15/462.66 = 288.04/x
  3. Step 3: Cross multiply
    310.15x = 462.66 × 288.04
  4. Step 4: Simplify right side
    310.15x = 133,264.84
  5. Step 5: Solve for x
    x = 133,264.84/310.15
  6. Step 6: Final answer
    x = 429.68

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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.