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Finding the Fourth Proportional to 466.02, 641.52 and 400.14

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Solution

The fourth proportional to 466.02, 641.52 and 400.14 is: 550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.02 : 641.52 = 400.14 : x
  2. Step 2: Convert to fraction form
    466.02/641.52 = 400.14/x
  3. Step 3: Cross multiply
    466.02x = 641.52 × 400.14
  4. Step 4: Simplify right side
    466.02x = 256,697.81
  5. Step 5: Solve for x
    x = 256,697.81/466.02
  6. Step 6: Final answer
    x = 550.83

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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.