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Finding the Fourth Proportional to 378.65, 565.16 and 317.99

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Solution

The fourth proportional to 378.65, 565.16 and 317.99 is: 474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.65 : 565.16 = 317.99 : x
  2. Step 2: Convert to fraction form
    378.65/565.16 = 317.99/x
  3. Step 3: Cross multiply
    378.65x = 565.16 × 317.99
  4. Step 4: Simplify right side
    378.65x = 179,710.81
  5. Step 5: Solve for x
    x = 179,710.81/378.65
  6. Step 6: Final answer
    x = 474.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.