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Finding the Fourth Proportional to 288.78, 429.87 and 285.67

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Solution

The fourth proportional to 288.78, 429.87 and 285.67 is: 425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.78 : 429.87 = 285.67 : x
  2. Step 2: Convert to fraction form
    288.78/429.87 = 285.67/x
  3. Step 3: Cross multiply
    288.78x = 429.87 × 285.67
  4. Step 4: Simplify right side
    288.78x = 122,800.96
  5. Step 5: Solve for x
    x = 122,800.96/288.78
  6. Step 6: Final answer
    x = 425.24

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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.