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Finding the Fourth Proportional to 288.60, 430.80 and 287.88

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Solution

The fourth proportional to 288.60, 430.80 and 287.88 is: 429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 430.80 = 287.88 : x
  2. Step 2: Convert to fraction form
    288.60/430.80 = 287.88/x
  3. Step 3: Cross multiply
    288.60x = 430.80 × 287.88
  4. Step 4: Simplify right side
    288.60x = 124,018.70
  5. Step 5: Solve for x
    x = 124,018.70/288.60
  6. Step 6: Final answer
    x = 429.73

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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.