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Finding the Fourth Proportional to 375.76, 560.54 and 341.20

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Solution

The fourth proportional to 375.76, 560.54 and 341.20 is: 508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.76 : 560.54 = 341.20 : x
  2. Step 2: Convert to fraction form
    375.76/560.54 = 341.20/x
  3. Step 3: Cross multiply
    375.76x = 560.54 × 341.20
  4. Step 4: Simplify right side
    375.76x = 191,256.25
  5. Step 5: Solve for x
    x = 191,256.25/375.76
  6. Step 6: Final answer
    x = 508.99

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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.