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Finding the Fourth Proportional to 157.14, 215.33 and 153.63

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Solution

The fourth proportional to 157.14, 215.33 and 153.63 is: 210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.14 : 215.33 = 153.63 : x
  2. Step 2: Convert to fraction form
    157.14/215.33 = 153.63/x
  3. Step 3: Cross multiply
    157.14x = 215.33 × 153.63
  4. Step 4: Simplify right side
    157.14x = 33,080.38
  5. Step 5: Solve for x
    x = 33,080.38/157.14
  6. Step 6: Final answer
    x = 210.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.