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Finding the Fourth Proportional to 482.54, 665.89 and 307.98

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Solution

The fourth proportional to 482.54, 665.89 and 307.98 is: 425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.54 : 665.89 = 307.98 : x
  2. Step 2: Convert to fraction form
    482.54/665.89 = 307.98/x
  3. Step 3: Cross multiply
    482.54x = 665.89 × 307.98
  4. Step 4: Simplify right side
    482.54x = 205,080.80
  5. Step 5: Solve for x
    x = 205,080.80/482.54
  6. Step 6: Final answer
    x = 425.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.