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Finding the Fourth Proportional to 421.16, 577.58 and 400.10

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Solution

The fourth proportional to 421.16, 577.58 and 400.10 is: 548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.16 : 577.58 = 400.10 : x
  2. Step 2: Convert to fraction form
    421.16/577.58 = 400.10/x
  3. Step 3: Cross multiply
    421.16x = 577.58 × 400.10
  4. Step 4: Simplify right side
    421.16x = 231,084.87
  5. Step 5: Solve for x
    x = 231,084.87/421.16
  6. Step 6: Final answer
    x = 548.69

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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.