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Finding the Fourth Proportional to 375.33, 565.49 and 345.81

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Solution

The fourth proportional to 375.33, 565.49 and 345.81 is: 521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.33 : 565.49 = 345.81 : x
  2. Step 2: Convert to fraction form
    375.33/565.49 = 345.81/x
  3. Step 3: Cross multiply
    375.33x = 565.49 × 345.81
  4. Step 4: Simplify right side
    375.33x = 195,552.10
  5. Step 5: Solve for x
    x = 195,552.10/375.33
  6. Step 6: Final answer
    x = 521.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.