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Finding the Fourth Proportional to 285.10, 425.38 and 258.19

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Solution

The fourth proportional to 285.10, 425.38 and 258.19 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.10 : 425.38 = 258.19 : x
  2. Step 2: Convert to fraction form
    285.10/425.38 = 258.19/x
  3. Step 3: Cross multiply
    285.10x = 425.38 × 258.19
  4. Step 4: Simplify right side
    285.10x = 109,828.86
  5. Step 5: Solve for x
    x = 109,828.86/285.10
  6. Step 6: Final answer
    x = 385.23

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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.