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Finding the Fourth Proportional to 410.98, 566.64 and 345.34

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Solution

The fourth proportional to 410.98, 566.64 and 345.34 is: 476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.98 : 566.64 = 345.34 : x
  2. Step 2: Convert to fraction form
    410.98/566.64 = 345.34/x
  3. Step 3: Cross multiply
    410.98x = 566.64 × 345.34
  4. Step 4: Simplify right side
    410.98x = 195,683.46
  5. Step 5: Solve for x
    x = 195,683.46/410.98
  6. Step 6: Final answer
    x = 476.14

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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.