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Finding the Fourth Proportional to 425.76, 587.07 and 301.20

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Solution

The fourth proportional to 425.76, 587.07 and 301.20 is: 415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.76 : 587.07 = 301.20 : x
  2. Step 2: Convert to fraction form
    425.76/587.07 = 301.20/x
  3. Step 3: Cross multiply
    425.76x = 587.07 × 301.20
  4. Step 4: Simplify right side
    425.76x = 176,825.48
  5. Step 5: Solve for x
    x = 176,825.48/425.76
  6. Step 6: Final answer
    x = 415.32

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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.