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Finding the Fourth Proportional to 410.32, 565.99 and 270.45

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Solution

The fourth proportional to 410.32, 565.99 and 270.45 is: 373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 565.99 = 270.45 : x
  2. Step 2: Convert to fraction form
    410.32/565.99 = 270.45/x
  3. Step 3: Cross multiply
    410.32x = 565.99 × 270.45
  4. Step 4: Simplify right side
    410.32x = 153,072.00
  5. Step 5: Solve for x
    x = 153,072.00/410.32
  6. Step 6: Final answer
    x = 373.06

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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.