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Finding the Fourth Proportional to 374.08, 560.64 and 320.08

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Solution

The fourth proportional to 374.08, 560.64 and 320.08 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.08 : 560.64 = 320.08 : x
  2. Step 2: Convert to fraction form
    374.08/560.64 = 320.08/x
  3. Step 3: Cross multiply
    374.08x = 560.64 × 320.08
  4. Step 4: Simplify right side
    374.08x = 179,449.65
  5. Step 5: Solve for x
    x = 179,449.65/374.08
  6. Step 6: Final answer
    x = 479.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.