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Finding the Fourth Proportional to 156.66, 216.27 and 127.50

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Solution

The fourth proportional to 156.66, 216.27 and 127.50 is: 176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.66 : 216.27 = 127.50 : x
  2. Step 2: Convert to fraction form
    156.66/216.27 = 127.50/x
  3. Step 3: Cross multiply
    156.66x = 216.27 × 127.50
  4. Step 4: Simplify right side
    156.66x = 27,574.43
  5. Step 5: Solve for x
    x = 27,574.43/156.66
  6. Step 6: Final answer
    x = 176.01

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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.