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Finding the Fourth Proportional to 164.04, 244.38 and 156.30

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Solution

The fourth proportional to 164.04, 244.38 and 156.30 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.04 : 244.38 = 156.30 : x
  2. Step 2: Convert to fraction form
    164.04/244.38 = 156.30/x
  3. Step 3: Cross multiply
    164.04x = 244.38 × 156.30
  4. Step 4: Simplify right side
    164.04x = 38,196.59
  5. Step 5: Solve for x
    x = 38,196.59/164.04
  6. Step 6: Final answer
    x = 232.85

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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.