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Finding the Fourth Proportional to 376.47, 565.39 and 328.06

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Solution

The fourth proportional to 376.47, 565.39 and 328.06 is: 492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.47 : 565.39 = 328.06 : x
  2. Step 2: Convert to fraction form
    376.47/565.39 = 328.06/x
  3. Step 3: Cross multiply
    376.47x = 565.39 × 328.06
  4. Step 4: Simplify right side
    376.47x = 185,484.22
  5. Step 5: Solve for x
    x = 185,484.22/376.47
  6. Step 6: Final answer
    x = 492.69

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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.