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Finding the Fourth Proportional to 157.30, 236.04 and 70.69

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Solution

The fourth proportional to 157.30, 236.04 and 70.69 is: 106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.30 : 236.04 = 70.69 : x
  2. Step 2: Convert to fraction form
    157.30/236.04 = 70.69/x
  3. Step 3: Cross multiply
    157.30x = 236.04 × 70.69
  4. Step 4: Simplify right side
    157.30x = 16,685.67
  5. Step 5: Solve for x
    x = 16,685.67/157.30
  6. Step 6: Final answer
    x = 106.08

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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.