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Finding the Fourth Proportional to 379.01, 565.55 and 340.06

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Solution

The fourth proportional to 379.01, 565.55 and 340.06 is: 507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.01 : 565.55 = 340.06 : x
  2. Step 2: Convert to fraction form
    379.01/565.55 = 340.06/x
  3. Step 3: Cross multiply
    379.01x = 565.55 × 340.06
  4. Step 4: Simplify right side
    379.01x = 192,320.93
  5. Step 5: Solve for x
    x = 192,320.93/379.01
  6. Step 6: Final answer
    x = 507.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.