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Finding the Fourth Proportional to 285.13, 425.33 and 257.77

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Solution

The fourth proportional to 285.13, 425.33 and 257.77 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.13 : 425.33 = 257.77 : x
  2. Step 2: Convert to fraction form
    285.13/425.33 = 257.77/x
  3. Step 3: Cross multiply
    285.13x = 425.33 × 257.77
  4. Step 4: Simplify right side
    285.13x = 109,636.03
  5. Step 5: Solve for x
    x = 109,636.03/285.13
  6. Step 6: Final answer
    x = 384.51

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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.