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Finding the Fourth Proportional to 455.02, 680.20 and 339.39

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Solution

The fourth proportional to 455.02, 680.20 and 339.39 is: 507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.02 : 680.20 = 339.39 : x
  2. Step 2: Convert to fraction form
    455.02/680.20 = 339.39/x
  3. Step 3: Cross multiply
    455.02x = 680.20 × 339.39
  4. Step 4: Simplify right side
    455.02x = 230,852.23
  5. Step 5: Solve for x
    x = 230,852.23/455.02
  6. Step 6: Final answer
    x = 507.35

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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.