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Finding the Fourth Proportional to 357.79, 491.12 and 317.57

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Solution

The fourth proportional to 357.79, 491.12 and 317.57 is: 435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.79 : 491.12 = 317.57 : x
  2. Step 2: Convert to fraction form
    357.79/491.12 = 317.57/x
  3. Step 3: Cross multiply
    357.79x = 491.12 × 317.57
  4. Step 4: Simplify right side
    357.79x = 155,964.98
  5. Step 5: Solve for x
    x = 155,964.98/357.79
  6. Step 6: Final answer
    x = 435.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.