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Finding the Fourth Proportional to 341.01, 510.99 and 264.17

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Solution

The fourth proportional to 341.01, 510.99 and 264.17 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.01 : 510.99 = 264.17 : x
  2. Step 2: Convert to fraction form
    341.01/510.99 = 264.17/x
  3. Step 3: Cross multiply
    341.01x = 510.99 × 264.17
  4. Step 4: Simplify right side
    341.01x = 134,988.23
  5. Step 5: Solve for x
    x = 134,988.23/341.01
  6. Step 6: Final answer
    x = 395.85

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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.