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Finding the Fourth Proportional to 340.83, 508.95 and 321.63

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Solution

The fourth proportional to 340.83, 508.95 and 321.63 is: 480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.83 : 508.95 = 321.63 : x
  2. Step 2: Convert to fraction form
    340.83/508.95 = 321.63/x
  3. Step 3: Cross multiply
    340.83x = 508.95 × 321.63
  4. Step 4: Simplify right side
    340.83x = 163,693.59
  5. Step 5: Solve for x
    x = 163,693.59/340.83
  6. Step 6: Final answer
    x = 480.28

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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.