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Finding the Fourth Proportional to 425.45, 587.20 and 277.82

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Solution

The fourth proportional to 425.45, 587.20 and 277.82 is: 383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.45 : 587.20 = 277.82 : x
  2. Step 2: Convert to fraction form
    425.45/587.20 = 277.82/x
  3. Step 3: Cross multiply
    425.45x = 587.20 × 277.82
  4. Step 4: Simplify right side
    425.45x = 163,134.51
  5. Step 5: Solve for x
    x = 163,134.51/425.45
  6. Step 6: Final answer
    x = 383.44

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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.