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Finding the Fourth Proportional to 184.07, 253.90 and 117.70

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Solution

The fourth proportional to 184.07, 253.90 and 117.70 is: 162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.07 : 253.90 = 117.70 : x
  2. Step 2: Convert to fraction form
    184.07/253.90 = 117.70/x
  3. Step 3: Cross multiply
    184.07x = 253.90 × 117.70
  4. Step 4: Simplify right side
    184.07x = 29,883.59
  5. Step 5: Solve for x
    x = 29,883.59/184.07
  6. Step 6: Final answer
    x = 162.35

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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.