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Finding the Fourth Proportional to 288.60, 430.11 and 288.14

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Solution

The fourth proportional to 288.60, 430.11 and 288.14 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 430.11 = 288.14 : x
  2. Step 2: Convert to fraction form
    288.60/430.11 = 288.14/x
  3. Step 3: Cross multiply
    288.60x = 430.11 × 288.14
  4. Step 4: Simplify right side
    288.60x = 123,931.90
  5. Step 5: Solve for x
    x = 123,931.90/288.60
  6. Step 6: Final answer
    x = 429.42

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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.