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Finding the Fourth Proportional to 315, 434.52 and 216.72

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Solution

The fourth proportional to 315, 434.52 and 216.72 is: 298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 434.52 = 216.72 : x
  2. Step 2: Convert to fraction form
    315/434.52 = 216.72/x
  3. Step 3: Cross multiply
    315x = 434.52 × 216.72
  4. Step 4: Simplify right side
    315x = 94,169.17
  5. Step 5: Solve for x
    x = 94,169.17/315
  6. Step 6: Final answer
    x = 298.95

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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.