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Finding the Fourth Proportional to 410.79, 566.80 and 253.36

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Solution

The fourth proportional to 410.79, 566.80 and 253.36 is: 349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.79 : 566.80 = 253.36 : x
  2. Step 2: Convert to fraction form
    410.79/566.80 = 253.36/x
  3. Step 3: Cross multiply
    410.79x = 566.80 × 253.36
  4. Step 4: Simplify right side
    410.79x = 143,604.52
  5. Step 5: Solve for x
    x = 143,604.52/410.79
  6. Step 6: Final answer
    x = 349.58

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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.