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Finding the Fourth Proportional to 404, 557.68 and 266.40

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Solution

The fourth proportional to 404, 557.68 and 266.40 is: 367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404 : 557.68 = 266.40 : x
  2. Step 2: Convert to fraction form
    404/557.68 = 266.40/x
  3. Step 3: Cross multiply
    404x = 557.68 × 266.40
  4. Step 4: Simplify right side
    404x = 148,565.95
  5. Step 5: Solve for x
    x = 148,565.95/404
  6. Step 6: Final answer
    x = 367.74

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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.