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Finding the Fourth Proportional to 315.13, 434.78 and 184.04

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Solution

The fourth proportional to 315.13, 434.78 and 184.04 is: 253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.13 : 434.78 = 184.04 : x
  2. Step 2: Convert to fraction form
    315.13/434.78 = 184.04/x
  3. Step 3: Cross multiply
    315.13x = 434.78 × 184.04
  4. Step 4: Simplify right side
    315.13x = 80,017.54
  5. Step 5: Solve for x
    x = 80,017.54/315.13
  6. Step 6: Final answer
    x = 253.92

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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.