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Finding the Fourth Proportional to 288.77, 432.74 and 207.43

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Solution

The fourth proportional to 288.77, 432.74 and 207.43 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.77 : 432.74 = 207.43 : x
  2. Step 2: Convert to fraction form
    288.77/432.74 = 207.43/x
  3. Step 3: Cross multiply
    288.77x = 432.74 × 207.43
  4. Step 4: Simplify right side
    288.77x = 89,762.69
  5. Step 5: Solve for x
    x = 89,762.69/288.77
  6. Step 6: Final answer
    x = 310.85

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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.