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Finding the Fourth Proportional to 315.66, 473.40 and 153.48

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Solution

The fourth proportional to 315.66, 473.40 and 153.48 is: 230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.66 : 473.40 = 153.48 : x
  2. Step 2: Convert to fraction form
    315.66/473.40 = 153.48/x
  3. Step 3: Cross multiply
    315.66x = 473.40 × 153.48
  4. Step 4: Simplify right side
    315.66x = 72,657.43
  5. Step 5: Solve for x
    x = 72,657.43/315.66
  6. Step 6: Final answer
    x = 230.18

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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.