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Finding the Fourth Proportional to 250.94, 346.29 and 152.66

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Solution

The fourth proportional to 250.94, 346.29 and 152.66 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.94 : 346.29 = 152.66 : x
  2. Step 2: Convert to fraction form
    250.94/346.29 = 152.66/x
  3. Step 3: Cross multiply
    250.94x = 346.29 × 152.66
  4. Step 4: Simplify right side
    250.94x = 52,864.63
  5. Step 5: Solve for x
    x = 52,864.63/250.94
  6. Step 6: Final answer
    x = 210.67

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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.