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Finding the Fourth Proportional to 156.30, 216.77 and 154.47

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Solution

The fourth proportional to 156.30, 216.77 and 154.47 is: 214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.30 : 216.77 = 154.47 : x
  2. Step 2: Convert to fraction form
    156.30/216.77 = 154.47/x
  3. Step 3: Cross multiply
    156.30x = 216.77 × 154.47
  4. Step 4: Simplify right side
    156.30x = 33,484.46
  5. Step 5: Solve for x
    x = 33,484.46/156.30
  6. Step 6: Final answer
    x = 214.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.