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Finding the Fourth Proportional to 491.88, 737.80 and 260.94

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Solution

The fourth proportional to 491.88, 737.80 and 260.94 is: 391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.88 : 737.80 = 260.94 : x
  2. Step 2: Convert to fraction form
    491.88/737.80 = 260.94/x
  3. Step 3: Cross multiply
    491.88x = 737.80 × 260.94
  4. Step 4: Simplify right side
    491.88x = 192,521.53
  5. Step 5: Solve for x
    x = 192,521.53/491.88
  6. Step 6: Final answer
    x = 391.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.