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Finding the Fourth Proportional to 401.16, 598.85 and 371.10

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Solution

The fourth proportional to 401.16, 598.85 and 371.10 is: 553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.16 : 598.85 = 371.10 : x
  2. Step 2: Convert to fraction form
    401.16/598.85 = 371.10/x
  3. Step 3: Cross multiply
    401.16x = 598.85 × 371.10
  4. Step 4: Simplify right side
    401.16x = 222,233.24
  5. Step 5: Solve for x
    x = 222,233.24/401.16
  6. Step 6: Final answer
    x = 553.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.