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Finding the Fourth Proportional to 410.78, 566.63 and 261.35

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Solution

The fourth proportional to 410.78, 566.63 and 261.35 is: 360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 566.63 = 261.35 : x
  2. Step 2: Convert to fraction form
    410.78/566.63 = 261.35/x
  3. Step 3: Cross multiply
    410.78x = 566.63 × 261.35
  4. Step 4: Simplify right side
    410.78x = 148,084.61
  5. Step 5: Solve for x
    x = 148,084.61/410.78
  6. Step 6: Final answer
    x = 360.50

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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.