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Finding the Fourth Proportional to 317.66, 436.68 and 284.09

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Solution

The fourth proportional to 317.66, 436.68 and 284.09 is: 390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 436.68 = 284.09 : x
  2. Step 2: Convert to fraction form
    317.66/436.68 = 284.09/x
  3. Step 3: Cross multiply
    317.66x = 436.68 × 284.09
  4. Step 4: Simplify right side
    317.66x = 124,054.24
  5. Step 5: Solve for x
    x = 124,054.24/317.66
  6. Step 6: Final answer
    x = 390.53

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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.