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Finding the Fourth Proportional to 400.18, 547.13 and 385.06

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Solution

The fourth proportional to 400.18, 547.13 and 385.06 is: 526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.18 : 547.13 = 385.06 : x
  2. Step 2: Convert to fraction form
    400.18/547.13 = 385.06/x
  3. Step 3: Cross multiply
    400.18x = 547.13 × 385.06
  4. Step 4: Simplify right side
    400.18x = 210,677.88
  5. Step 5: Solve for x
    x = 210,677.88/400.18
  6. Step 6: Final answer
    x = 526.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.