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Finding the Fourth Proportional to 152.35, 210.16 and 99.89

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Solution

The fourth proportional to 152.35, 210.16 and 99.89 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 210.16 = 99.89 : x
  2. Step 2: Convert to fraction form
    152.35/210.16 = 99.89/x
  3. Step 3: Cross multiply
    152.35x = 210.16 × 99.89
  4. Step 4: Simplify right side
    152.35x = 20,992.88
  5. Step 5: Solve for x
    x = 20,992.88/152.35
  6. Step 6: Final answer
    x = 137.79

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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.