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Finding the Fourth Proportional to 156.41, 233.47 and 145.15

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Solution

The fourth proportional to 156.41, 233.47 and 145.15 is: 216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.41 : 233.47 = 145.15 : x
  2. Step 2: Convert to fraction form
    156.41/233.47 = 145.15/x
  3. Step 3: Cross multiply
    156.41x = 233.47 × 145.15
  4. Step 4: Simplify right side
    156.41x = 33,888.17
  5. Step 5: Solve for x
    x = 33,888.17/156.41
  6. Step 6: Final answer
    x = 216.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.