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Finding the Fourth Proportional to 341.48, 509.14 and 337.88

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Solution

The fourth proportional to 341.48, 509.14 and 337.88 is: 503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 509.14 = 337.88 : x
  2. Step 2: Convert to fraction form
    341.48/509.14 = 337.88/x
  3. Step 3: Cross multiply
    341.48x = 509.14 × 337.88
  4. Step 4: Simplify right side
    341.48x = 172,028.22
  5. Step 5: Solve for x
    x = 172,028.22/341.48
  6. Step 6: Final answer
    x = 503.77

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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.