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Finding the Fourth Proportional to 156.28, 233.28 and 145.02

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Solution

The fourth proportional to 156.28, 233.28 and 145.02 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.28 : 233.28 = 145.02 : x
  2. Step 2: Convert to fraction form
    156.28/233.28 = 145.02/x
  3. Step 3: Cross multiply
    156.28x = 233.28 × 145.02
  4. Step 4: Simplify right side
    156.28x = 33,830.27
  5. Step 5: Solve for x
    x = 33,830.27/156.28
  6. Step 6: Final answer
    x = 216.47

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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.