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Finding the Fourth Proportional to 423.56, 581.16 and 400.34

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Solution

The fourth proportional to 423.56, 581.16 and 400.34 is: 549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.56 : 581.16 = 400.34 : x
  2. Step 2: Convert to fraction form
    423.56/581.16 = 400.34/x
  3. Step 3: Cross multiply
    423.56x = 581.16 × 400.34
  4. Step 4: Simplify right side
    423.56x = 232,658.69
  5. Step 5: Solve for x
    x = 232,658.69/423.56
  6. Step 6: Final answer
    x = 549.30

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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.