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Finding the Fourth Proportional to 293.50, 438.32 and 277.72

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Solution

The fourth proportional to 293.50, 438.32 and 277.72 is: 414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 438.32 = 277.72 : x
  2. Step 2: Convert to fraction form
    293.50/438.32 = 277.72/x
  3. Step 3: Cross multiply
    293.50x = 438.32 × 277.72
  4. Step 4: Simplify right side
    293.50x = 121,730.23
  5. Step 5: Solve for x
    x = 121,730.23/293.50
  6. Step 6: Final answer
    x = 414.75

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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.