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Finding the Fourth Proportional to 315.76, 434.91 and 291.16

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Solution

The fourth proportional to 315.76, 434.91 and 291.16 is: 401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.76 : 434.91 = 291.16 : x
  2. Step 2: Convert to fraction form
    315.76/434.91 = 291.16/x
  3. Step 3: Cross multiply
    315.76x = 434.91 × 291.16
  4. Step 4: Simplify right side
    315.76x = 126,628.40
  5. Step 5: Solve for x
    x = 126,628.40/315.76
  6. Step 6: Final answer
    x = 401.03

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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.