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Finding the Fourth Proportional to 565.31, 848.06 and 240.68

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Solution

The fourth proportional to 565.31, 848.06 and 240.68 is: 361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 848.06 = 240.68 : x
  2. Step 2: Convert to fraction form
    565.31/848.06 = 240.68/x
  3. Step 3: Cross multiply
    565.31x = 848.06 × 240.68
  4. Step 4: Simplify right side
    565.31x = 204,105.64
  5. Step 5: Solve for x
    x = 204,105.64/565.31
  6. Step 6: Final answer
    x = 361.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.