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Finding the Fourth Proportional to 302.65, 417.42 and 256.15

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Solution

The fourth proportional to 302.65, 417.42 and 256.15 is: 353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.65 : 417.42 = 256.15 : x
  2. Step 2: Convert to fraction form
    302.65/417.42 = 256.15/x
  3. Step 3: Cross multiply
    302.65x = 417.42 × 256.15
  4. Step 4: Simplify right side
    302.65x = 106,922.13
  5. Step 5: Solve for x
    x = 106,922.13/302.65
  6. Step 6: Final answer
    x = 353.29

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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.