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Finding the Fourth Proportional to 375.42, 559.58 and 345.66

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Solution

The fourth proportional to 375.42, 559.58 and 345.66 is: 515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.42 : 559.58 = 345.66 : x
  2. Step 2: Convert to fraction form
    375.42/559.58 = 345.66/x
  3. Step 3: Cross multiply
    375.42x = 559.58 × 345.66
  4. Step 4: Simplify right side
    375.42x = 193,424.42
  5. Step 5: Solve for x
    x = 193,424.42/375.42
  6. Step 6: Final answer
    x = 515.22

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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.