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Finding the Fourth Proportional to 401.48, 602.25 and 141.45

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Solution

The fourth proportional to 401.48, 602.25 and 141.45 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 602.25 = 141.45 : x
  2. Step 2: Convert to fraction form
    401.48/602.25 = 141.45/x
  3. Step 3: Cross multiply
    401.48x = 602.25 × 141.45
  4. Step 4: Simplify right side
    401.48x = 85,188.26
  5. Step 5: Solve for x
    x = 85,188.26/401.48
  6. Step 6: Final answer
    x = 212.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.