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Finding the Fourth Proportional to 425.82, 587.01 and 301.14

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Solution

The fourth proportional to 425.82, 587.01 and 301.14 is: 415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.82 : 587.01 = 301.14 : x
  2. Step 2: Convert to fraction form
    425.82/587.01 = 301.14/x
  3. Step 3: Cross multiply
    425.82x = 587.01 × 301.14
  4. Step 4: Simplify right side
    425.82x = 176,772.19
  5. Step 5: Solve for x
    x = 176,772.19/425.82
  6. Step 6: Final answer
    x = 415.13

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