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Finding the Fourth Proportional to 315.30, 434.42 and 275.66

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Solution

The fourth proportional to 315.30, 434.42 and 275.66 is: 379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.30 : 434.42 = 275.66 : x
  2. Step 2: Convert to fraction form
    315.30/434.42 = 275.66/x
  3. Step 3: Cross multiply
    315.30x = 434.42 × 275.66
  4. Step 4: Simplify right side
    315.30x = 119,752.22
  5. Step 5: Solve for x
    x = 119,752.22/315.30
  6. Step 6: Final answer
    x = 379.80

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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.