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Finding the Fourth Proportional to 491.51, 738.79 and 310.07

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Solution

The fourth proportional to 491.51, 738.79 and 310.07 is: 466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.51 : 738.79 = 310.07 : x
  2. Step 2: Convert to fraction form
    491.51/738.79 = 310.07/x
  3. Step 3: Cross multiply
    491.51x = 738.79 × 310.07
  4. Step 4: Simplify right side
    491.51x = 229,077.69
  5. Step 5: Solve for x
    x = 229,077.69/491.51
  6. Step 6: Final answer
    x = 466.07

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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.