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Finding the Fourth Proportional to 612.88, 919.31 and 156.88

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Solution

The fourth proportional to 612.88, 919.31 and 156.88 is: 235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.88 : 919.31 = 156.88 : x
  2. Step 2: Convert to fraction form
    612.88/919.31 = 156.88/x
  3. Step 3: Cross multiply
    612.88x = 919.31 × 156.88
  4. Step 4: Simplify right side
    612.88x = 144,217.15
  5. Step 5: Solve for x
    x = 144,217.15/612.88
  6. Step 6: Final answer
    x = 235.31

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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.