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Finding the Fourth Proportional to 317.13, 436.62 and 302.50

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Solution

The fourth proportional to 317.13, 436.62 and 302.50 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.13 : 436.62 = 302.50 : x
  2. Step 2: Convert to fraction form
    317.13/436.62 = 302.50/x
  3. Step 3: Cross multiply
    317.13x = 436.62 × 302.50
  4. Step 4: Simplify right side
    317.13x = 132,077.55
  5. Step 5: Solve for x
    x = 132,077.55/317.13
  6. Step 6: Final answer
    x = 416.48

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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.