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Finding the Fourth Proportional to 425.78, 587.01 and 278.16

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Solution

The fourth proportional to 425.78, 587.01 and 278.16 is: 383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.78 : 587.01 = 278.16 : x
  2. Step 2: Convert to fraction form
    425.78/587.01 = 278.16/x
  3. Step 3: Cross multiply
    425.78x = 587.01 × 278.16
  4. Step 4: Simplify right side
    425.78x = 163,282.70
  5. Step 5: Solve for x
    x = 163,282.70/425.78
  6. Step 6: Final answer
    x = 383.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.