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Finding the Fourth Proportional to 153.64, 210.98 and 137.26

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Solution

The fourth proportional to 153.64, 210.98 and 137.26 is: 188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.64 : 210.98 = 137.26 : x
  2. Step 2: Convert to fraction form
    153.64/210.98 = 137.26/x
  3. Step 3: Cross multiply
    153.64x = 210.98 × 137.26
  4. Step 4: Simplify right side
    153.64x = 28,959.11
  5. Step 5: Solve for x
    x = 28,959.11/153.64
  6. Step 6: Final answer
    x = 188.49

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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.