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Finding the Fourth Proportional to 410.19, 564.77 and 362.23

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Solution

The fourth proportional to 410.19, 564.77 and 362.23 is: 498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.19 : 564.77 = 362.23 : x
  2. Step 2: Convert to fraction form
    410.19/564.77 = 362.23/x
  3. Step 3: Cross multiply
    410.19x = 564.77 × 362.23
  4. Step 4: Simplify right side
    410.19x = 204,576.64
  5. Step 5: Solve for x
    x = 204,576.64/410.19
  6. Step 6: Final answer
    x = 498.74

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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.