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Finding the Fourth Proportional to 425.76, 587.16 and 278.34

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Solution

The fourth proportional to 425.76, 587.16 and 278.34 is: 383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.76 : 587.16 = 278.34 : x
  2. Step 2: Convert to fraction form
    425.76/587.16 = 278.34/x
  3. Step 3: Cross multiply
    425.76x = 587.16 × 278.34
  4. Step 4: Simplify right side
    425.76x = 163,430.11
  5. Step 5: Solve for x
    x = 163,430.11/425.76
  6. Step 6: Final answer
    x = 383.86

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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.