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Finding the Fourth Proportional to 341.34, 510.57 and 315.42

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Solution

The fourth proportional to 341.34, 510.57 and 315.42 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.34 : 510.57 = 315.42 : x
  2. Step 2: Convert to fraction form
    341.34/510.57 = 315.42/x
  3. Step 3: Cross multiply
    341.34x = 510.57 × 315.42
  4. Step 4: Simplify right side
    341.34x = 161,043.99
  5. Step 5: Solve for x
    x = 161,043.99/341.34
  6. Step 6: Final answer
    x = 471.80

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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.