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Finding the Fourth Proportional to 153.04, 211.66 and 136.64

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Solution

The fourth proportional to 153.04, 211.66 and 136.64 is: 188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.04 : 211.66 = 136.64 : x
  2. Step 2: Convert to fraction form
    153.04/211.66 = 136.64/x
  3. Step 3: Cross multiply
    153.04x = 211.66 × 136.64
  4. Step 4: Simplify right side
    153.04x = 28,921.22
  5. Step 5: Solve for x
    x = 28,921.22/153.04
  6. Step 6: Final answer
    x = 188.98

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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.