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Finding the Fourth Proportional to 410.43, 565.74 and 286.23

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Solution

The fourth proportional to 410.43, 565.74 and 286.23 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 565.74 = 286.23 : x
  2. Step 2: Convert to fraction form
    410.43/565.74 = 286.23/x
  3. Step 3: Cross multiply
    410.43x = 565.74 × 286.23
  4. Step 4: Simplify right side
    410.43x = 161,931.76
  5. Step 5: Solve for x
    x = 161,931.76/410.43
  6. Step 6: Final answer
    x = 394.54

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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.