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Finding the Fourth Proportional to 401.67, 553.95 and 291.87

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Solution

The fourth proportional to 401.67, 553.95 and 291.87 is: 402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.67 : 553.95 = 291.87 : x
  2. Step 2: Convert to fraction form
    401.67/553.95 = 291.87/x
  3. Step 3: Cross multiply
    401.67x = 553.95 × 291.87
  4. Step 4: Simplify right side
    401.67x = 161,681.39
  5. Step 5: Solve for x
    x = 161,681.39/401.67
  6. Step 6: Final answer
    x = 402.52

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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.