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Finding the Fourth Proportional to 341.17, 510.63 and 242.15

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Solution

The fourth proportional to 341.17, 510.63 and 242.15 is: 362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.17 : 510.63 = 242.15 : x
  2. Step 2: Convert to fraction form
    341.17/510.63 = 242.15/x
  3. Step 3: Cross multiply
    341.17x = 510.63 × 242.15
  4. Step 4: Simplify right side
    341.17x = 123,649.05
  5. Step 5: Solve for x
    x = 123,649.05/341.17
  6. Step 6: Final answer
    x = 362.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.