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Finding the Fourth Proportional to 295.65, 408.24 and 256.47

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Solution

The fourth proportional to 295.65, 408.24 and 256.47 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.65 : 408.24 = 256.47 : x
  2. Step 2: Convert to fraction form
    295.65/408.24 = 256.47/x
  3. Step 3: Cross multiply
    295.65x = 408.24 × 256.47
  4. Step 4: Simplify right side
    295.65x = 104,699.78
  5. Step 5: Solve for x
    x = 104,699.78/295.65
  6. Step 6: Final answer
    x = 354.13

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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.