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Finding the Fourth Proportional to 410.61, 566.10 and 340.41

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Solution

The fourth proportional to 410.61, 566.10 and 340.41 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.61 : 566.10 = 340.41 : x
  2. Step 2: Convert to fraction form
    410.61/566.10 = 340.41/x
  3. Step 3: Cross multiply
    410.61x = 566.10 × 340.41
  4. Step 4: Simplify right side
    410.61x = 192,706.10
  5. Step 5: Solve for x
    x = 192,706.10/410.61
  6. Step 6: Final answer
    x = 469.32

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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.