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Finding the Fourth Proportional to 152.41, 210.41 and 136.84

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Solution

The fourth proportional to 152.41, 210.41 and 136.84 is: 188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.41 : 210.41 = 136.84 : x
  2. Step 2: Convert to fraction form
    152.41/210.41 = 136.84/x
  3. Step 3: Cross multiply
    152.41x = 210.41 × 136.84
  4. Step 4: Simplify right side
    152.41x = 28,792.50
  5. Step 5: Solve for x
    x = 28,792.50/152.41
  6. Step 6: Final answer
    x = 188.91

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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.