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Finding the Fourth Proportional to 315.07, 434.79 and 177.07

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Solution

The fourth proportional to 315.07, 434.79 and 177.07 is: 244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.07 : 434.79 = 177.07 : x
  2. Step 2: Convert to fraction form
    315.07/434.79 = 177.07/x
  3. Step 3: Cross multiply
    315.07x = 434.79 × 177.07
  4. Step 4: Simplify right side
    315.07x = 76,985.21
  5. Step 5: Solve for x
    x = 76,985.21/315.07
  6. Step 6: Final answer
    x = 244.35

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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.