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Finding the Fourth Proportional to 410.51, 566.65 and 343.99

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Solution

The fourth proportional to 410.51, 566.65 and 343.99 is: 474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.51 : 566.65 = 343.99 : x
  2. Step 2: Convert to fraction form
    410.51/566.65 = 343.99/x
  3. Step 3: Cross multiply
    410.51x = 566.65 × 343.99
  4. Step 4: Simplify right side
    410.51x = 194,921.93
  5. Step 5: Solve for x
    x = 194,921.93/410.51
  6. Step 6: Final answer
    x = 474.83

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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.