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Finding the Fourth Proportional to 285.70, 426.16 and 258.34

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Solution

The fourth proportional to 285.70, 426.16 and 258.34 is: 385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.70 : 426.16 = 258.34 : x
  2. Step 2: Convert to fraction form
    285.70/426.16 = 258.34/x
  3. Step 3: Cross multiply
    285.70x = 426.16 × 258.34
  4. Step 4: Simplify right side
    285.70x = 110,092.04
  5. Step 5: Solve for x
    x = 110,092.04/285.70
  6. Step 6: Final answer
    x = 385.35

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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.