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Finding the Fourth Proportional to 307.75, 424.75 and 202.65

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Solution

The fourth proportional to 307.75, 424.75 and 202.65 is: 279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 424.75 = 202.65 : x
  2. Step 2: Convert to fraction form
    307.75/424.75 = 202.65/x
  3. Step 3: Cross multiply
    307.75x = 424.75 × 202.65
  4. Step 4: Simplify right side
    307.75x = 86,075.59
  5. Step 5: Solve for x
    x = 86,075.59/307.75
  6. Step 6: Final answer
    x = 279.69

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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.