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Finding the Fourth Proportional to 459.26, 688.75 and 264.22

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Solution

The fourth proportional to 459.26, 688.75 and 264.22 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.26 : 688.75 = 264.22 : x
  2. Step 2: Convert to fraction form
    459.26/688.75 = 264.22/x
  3. Step 3: Cross multiply
    459.26x = 688.75 × 264.22
  4. Step 4: Simplify right side
    459.26x = 181,981.53
  5. Step 5: Solve for x
    x = 181,981.53/459.26
  6. Step 6: Final answer
    x = 396.25

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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.