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Finding the Fourth Proportional to 315.63, 434.70 and 291.33

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Solution

The fourth proportional to 315.63, 434.70 and 291.33 is: 401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.63 : 434.70 = 291.33 : x
  2. Step 2: Convert to fraction form
    315.63/434.70 = 291.33/x
  3. Step 3: Cross multiply
    315.63x = 434.70 × 291.33
  4. Step 4: Simplify right side
    315.63x = 126,641.15
  5. Step 5: Solve for x
    x = 126,641.15/315.63
  6. Step 6: Final answer
    x = 401.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.