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Finding the Fourth Proportional to 307.10, 423.41 and 256.66

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Solution

The fourth proportional to 307.10, 423.41 and 256.66 is: 353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.10 : 423.41 = 256.66 : x
  2. Step 2: Convert to fraction form
    307.10/423.41 = 256.66/x
  3. Step 3: Cross multiply
    307.10x = 423.41 × 256.66
  4. Step 4: Simplify right side
    307.10x = 108,670.07
  5. Step 5: Solve for x
    x = 108,670.07/307.10
  6. Step 6: Final answer
    x = 353.86

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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.