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Finding the Fourth Proportional to 311, 463.75 and 288.68

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Solution

The fourth proportional to 311, 463.75 and 288.68 is: 430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311 : 463.75 = 288.68 : x
  2. Step 2: Convert to fraction form
    311/463.75 = 288.68/x
  3. Step 3: Cross multiply
    311x = 463.75 × 288.68
  4. Step 4: Simplify right side
    311x = 133,875.35
  5. Step 5: Solve for x
    x = 133,875.35/311
  6. Step 6: Final answer
    x = 430.47

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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.