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Finding the Fourth Proportional to 375.84, 565.84 and 330.56

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Solution

The fourth proportional to 375.84, 565.84 and 330.56 is: 497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.84 : 565.84 = 330.56 : x
  2. Step 2: Convert to fraction form
    375.84/565.84 = 330.56/x
  3. Step 3: Cross multiply
    375.84x = 565.84 × 330.56
  4. Step 4: Simplify right side
    375.84x = 187,044.07
  5. Step 5: Solve for x
    x = 187,044.07/375.84
  6. Step 6: Final answer
    x = 497.67

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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.