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Finding the Fourth Proportional to 210.08, 289.58 and 136.28

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Solution

The fourth proportional to 210.08, 289.58 and 136.28 is: 187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.08 : 289.58 = 136.28 : x
  2. Step 2: Convert to fraction form
    210.08/289.58 = 136.28/x
  3. Step 3: Cross multiply
    210.08x = 289.58 × 136.28
  4. Step 4: Simplify right side
    210.08x = 39,461.83
  5. Step 5: Solve for x
    x = 39,461.83/210.08
  6. Step 6: Final answer
    x = 187.84

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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.