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Finding the Fourth Proportional to 410.70, 566.45 and 263.35

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Solution

The fourth proportional to 410.70, 566.45 and 263.35 is: 363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.70 : 566.45 = 263.35 : x
  2. Step 2: Convert to fraction form
    410.70/566.45 = 263.35/x
  3. Step 3: Cross multiply
    410.70x = 566.45 × 263.35
  4. Step 4: Simplify right side
    410.70x = 149,172.65
  5. Step 5: Solve for x
    x = 149,172.65/410.70
  6. Step 6: Final answer
    x = 363.21

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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.