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Finding the Fourth Proportional to 425.69, 587.46 and 278.58

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Solution

The fourth proportional to 425.69, 587.46 and 278.58 is: 384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.69 : 587.46 = 278.58 : x
  2. Step 2: Convert to fraction form
    425.69/587.46 = 278.58/x
  3. Step 3: Cross multiply
    425.69x = 587.46 × 278.58
  4. Step 4: Simplify right side
    425.69x = 163,654.61
  5. Step 5: Solve for x
    x = 163,654.61/425.69
  6. Step 6: Final answer
    x = 384.45

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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.