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Finding the Fourth Proportional to 565.16, 780.20 and 344.16

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Solution

The fourth proportional to 565.16, 780.20 and 344.16 is: 475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.16 : 780.20 = 344.16 : x
  2. Step 2: Convert to fraction form
    565.16/780.20 = 344.16/x
  3. Step 3: Cross multiply
    565.16x = 780.20 × 344.16
  4. Step 4: Simplify right side
    565.16x = 268,513.63
  5. Step 5: Solve for x
    x = 268,513.63/565.16
  6. Step 6: Final answer
    x = 475.11

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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.