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Finding the Fourth Proportional to 341.39, 508.53 and 322.76

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Solution

The fourth proportional to 341.39, 508.53 and 322.76 is: 480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.39 : 508.53 = 322.76 : x
  2. Step 2: Convert to fraction form
    341.39/508.53 = 322.76/x
  3. Step 3: Cross multiply
    341.39x = 508.53 × 322.76
  4. Step 4: Simplify right side
    341.39x = 164,130.60
  5. Step 5: Solve for x
    x = 164,130.60/341.39
  6. Step 6: Final answer
    x = 480.78

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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.