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Finding the Fourth Proportional to 209.84, 314.64 and 101.57

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Solution

The fourth proportional to 209.84, 314.64 and 101.57 is: 152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 314.64 = 101.57 : x
  2. Step 2: Convert to fraction form
    209.84/314.64 = 101.57/x
  3. Step 3: Cross multiply
    209.84x = 314.64 × 101.57
  4. Step 4: Simplify right side
    209.84x = 31,956.41
  5. Step 5: Solve for x
    x = 31,956.41/209.84
  6. Step 6: Final answer
    x = 152.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.