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Finding the Fourth Proportional to 288.74, 430.05 and 285.70

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Solution

The fourth proportional to 288.74, 430.05 and 285.70 is: 425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.74 : 430.05 = 285.70 : x
  2. Step 2: Convert to fraction form
    288.74/430.05 = 285.70/x
  3. Step 3: Cross multiply
    288.74x = 430.05 × 285.70
  4. Step 4: Simplify right side
    288.74x = 122,865.29
  5. Step 5: Solve for x
    x = 122,865.29/288.74
  6. Step 6: Final answer
    x = 425.52

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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.