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Finding the Fourth Proportional to 153.70, 213.08 and 145.89

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Solution

The fourth proportional to 153.70, 213.08 and 145.89 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.70 : 213.08 = 145.89 : x
  2. Step 2: Convert to fraction form
    153.70/213.08 = 145.89/x
  3. Step 3: Cross multiply
    153.70x = 213.08 × 145.89
  4. Step 4: Simplify right side
    153.70x = 31,085.51
  5. Step 5: Solve for x
    x = 31,085.51/153.70
  6. Step 6: Final answer
    x = 202.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.