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Finding the Fourth Proportional to 231.81, 320.06 and 152.19

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Solution

The fourth proportional to 231.81, 320.06 and 152.19 is: 210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.81 : 320.06 = 152.19 : x
  2. Step 2: Convert to fraction form
    231.81/320.06 = 152.19/x
  3. Step 3: Cross multiply
    231.81x = 320.06 × 152.19
  4. Step 4: Simplify right side
    231.81x = 48,709.17
  5. Step 5: Solve for x
    x = 48,709.17/231.81
  6. Step 6: Final answer
    x = 210.13

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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.