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Finding the Fourth Proportional to 156.99, 234.36 and 145.74

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Solution

The fourth proportional to 156.99, 234.36 and 145.74 is: 217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.99 : 234.36 = 145.74 : x
  2. Step 2: Convert to fraction form
    156.99/234.36 = 145.74/x
  3. Step 3: Cross multiply
    156.99x = 234.36 × 145.74
  4. Step 4: Simplify right side
    156.99x = 34,155.63
  5. Step 5: Solve for x
    x = 34,155.63/156.99
  6. Step 6: Final answer
    x = 217.57

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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.