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Finding the Fourth Proportional to 304.74, 420.57 and 173.77

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Solution

The fourth proportional to 304.74, 420.57 and 173.77 is: 239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.74 : 420.57 = 173.77 : x
  2. Step 2: Convert to fraction form
    304.74/420.57 = 173.77/x
  3. Step 3: Cross multiply
    304.74x = 420.57 × 173.77
  4. Step 4: Simplify right side
    304.74x = 73,081.40
  5. Step 5: Solve for x
    x = 73,081.40/304.74
  6. Step 6: Final answer
    x = 239.82

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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.