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Finding the Fourth Proportional to 285.69, 426.07 and 258.01

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Solution

The fourth proportional to 285.69, 426.07 and 258.01 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.69 : 426.07 = 258.01 : x
  2. Step 2: Convert to fraction form
    285.69/426.07 = 258.01/x
  3. Step 3: Cross multiply
    285.69x = 426.07 × 258.01
  4. Step 4: Simplify right side
    285.69x = 109,930.30
  5. Step 5: Solve for x
    x = 109,930.30/285.69
  6. Step 6: Final answer
    x = 384.79

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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.