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Finding the Fourth Proportional to 375.10, 557.92 and 342.23

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Solution

The fourth proportional to 375.10, 557.92 and 342.23 is: 509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.10 : 557.92 = 342.23 : x
  2. Step 2: Convert to fraction form
    375.10/557.92 = 342.23/x
  3. Step 3: Cross multiply
    375.10x = 557.92 × 342.23
  4. Step 4: Simplify right side
    375.10x = 190,934.60
  5. Step 5: Solve for x
    x = 190,934.60/375.10
  6. Step 6: Final answer
    x = 509.03

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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.