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Finding the Fourth Proportional to 431.50, 647.06 and 157.40

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Solution

The fourth proportional to 431.50, 647.06 and 157.40 is: 236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.50 : 647.06 = 157.40 : x
  2. Step 2: Convert to fraction form
    431.50/647.06 = 157.40/x
  3. Step 3: Cross multiply
    431.50x = 647.06 × 157.40
  4. Step 4: Simplify right side
    431.50x = 101,850.10
  5. Step 5: Solve for x
    x = 101,850.10/431.50
  6. Step 6: Final answer
    x = 236.03

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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.