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Finding the Fourth Proportional to 153.57, 231.68 and 145.98

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Solution

The fourth proportional to 153.57, 231.68 and 145.98 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.57 : 231.68 = 145.98 : x
  2. Step 2: Convert to fraction form
    153.57/231.68 = 145.98/x
  3. Step 3: Cross multiply
    153.57x = 231.68 × 145.98
  4. Step 4: Simplify right side
    153.57x = 33,820.65
  5. Step 5: Solve for x
    x = 33,820.65/153.57
  6. Step 6: Final answer
    x = 220.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.