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Finding the Fourth Proportional to 156.89, 216.47 and 90.48

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Solution

The fourth proportional to 156.89, 216.47 and 90.48 is: 124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.89 : 216.47 = 90.48 : x
  2. Step 2: Convert to fraction form
    156.89/216.47 = 90.48/x
  3. Step 3: Cross multiply
    156.89x = 216.47 × 90.48
  4. Step 4: Simplify right side
    156.89x = 19,585.75
  5. Step 5: Solve for x
    x = 19,585.75/156.89
  6. Step 6: Final answer
    x = 124.84

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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.