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Finding the Fourth Proportional to 410.02, 564.69 and 386.26

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Solution

The fourth proportional to 410.02, 564.69 and 386.26 is: 531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.02 : 564.69 = 386.26 : x
  2. Step 2: Convert to fraction form
    410.02/564.69 = 386.26/x
  3. Step 3: Cross multiply
    410.02x = 564.69 × 386.26
  4. Step 4: Simplify right side
    410.02x = 218,117.16
  5. Step 5: Solve for x
    x = 218,117.16/410.02
  6. Step 6: Final answer
    x = 531.97

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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.