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Finding the Fourth Proportional to 491.51, 737.73 and 359.87

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Solution

The fourth proportional to 491.51, 737.73 and 359.87 is: 540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.51 : 737.73 = 359.87 : x
  2. Step 2: Convert to fraction form
    491.51/737.73 = 359.87/x
  3. Step 3: Cross multiply
    491.51x = 737.73 × 359.87
  4. Step 4: Simplify right side
    491.51x = 265,486.90
  5. Step 5: Solve for x
    x = 265,486.90/491.51
  6. Step 6: Final answer
    x = 540.15

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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.