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Finding the Fourth Proportional to 409.93, 565.43 and 262.51

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Solution

The fourth proportional to 409.93, 565.43 and 262.51 is: 362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.93 : 565.43 = 262.51 : x
  2. Step 2: Convert to fraction form
    409.93/565.43 = 262.51/x
  3. Step 3: Cross multiply
    409.93x = 565.43 × 262.51
  4. Step 4: Simplify right side
    409.93x = 148,428.30
  5. Step 5: Solve for x
    x = 148,428.30/409.93
  6. Step 6: Final answer
    x = 362.08

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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.