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Finding the Fourth Proportional to 410.78, 566.07 and 270.74

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Solution

The fourth proportional to 410.78, 566.07 and 270.74 is: 373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 566.07 = 270.74 : x
  2. Step 2: Convert to fraction form
    410.78/566.07 = 270.74/x
  3. Step 3: Cross multiply
    410.78x = 566.07 × 270.74
  4. Step 4: Simplify right side
    410.78x = 153,257.79
  5. Step 5: Solve for x
    x = 153,257.79/410.78
  6. Step 6: Final answer
    x = 373.09

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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.