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Finding the Fourth Proportional to 317.08, 435.02 and 309.88

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Solution

The fourth proportional to 317.08, 435.02 and 309.88 is: 425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.08 : 435.02 = 309.88 : x
  2. Step 2: Convert to fraction form
    317.08/435.02 = 309.88/x
  3. Step 3: Cross multiply
    317.08x = 435.02 × 309.88
  4. Step 4: Simplify right side
    317.08x = 134,804.00
  5. Step 5: Solve for x
    x = 134,804.00/317.08
  6. Step 6: Final answer
    x = 425.14

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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.