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Finding the Fourth Proportional to 156.00, 215.05 and 109.23

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Solution

The fourth proportional to 156.00, 215.05 and 109.23 is: 150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.00 : 215.05 = 109.23 : x
  2. Step 2: Convert to fraction form
    156.00/215.05 = 109.23/x
  3. Step 3: Cross multiply
    156.00x = 215.05 × 109.23
  4. Step 4: Simplify right side
    156.00x = 23,488.84
  5. Step 5: Solve for x
    x = 23,488.84/156.00
  6. Step 6: Final answer
    x = 150.57

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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.