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Finding the Fourth Proportional to 288.55, 432.98 and 93.59

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Solution

The fourth proportional to 288.55, 432.98 and 93.59 is: 140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.55 : 432.98 = 93.59 : x
  2. Step 2: Convert to fraction form
    288.55/432.98 = 93.59/x
  3. Step 3: Cross multiply
    288.55x = 432.98 × 93.59
  4. Step 4: Simplify right side
    288.55x = 40,522.60
  5. Step 5: Solve for x
    x = 40,522.60/288.55
  6. Step 6: Final answer
    x = 140.44

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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.