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Finding the Fourth Proportional to 314.58, 471.87 and 98.16

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Solution

The fourth proportional to 314.58, 471.87 and 98.16 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.58 : 471.87 = 98.16 : x
  2. Step 2: Convert to fraction form
    314.58/471.87 = 98.16/x
  3. Step 3: Cross multiply
    314.58x = 471.87 × 98.16
  4. Step 4: Simplify right side
    314.58x = 46,318.76
  5. Step 5: Solve for x
    x = 46,318.76/314.58
  6. Step 6: Final answer
    x = 147.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.