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Finding the Fourth Proportional to 482.64, 665.84 and 307.92

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Solution

The fourth proportional to 482.64, 665.84 and 307.92 is: 424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.64 : 665.84 = 307.92 : x
  2. Step 2: Convert to fraction form
    482.64/665.84 = 307.92/x
  3. Step 3: Cross multiply
    482.64x = 665.84 × 307.92
  4. Step 4: Simplify right side
    482.64x = 205,025.45
  5. Step 5: Solve for x
    x = 205,025.45/482.64
  6. Step 6: Final answer
    x = 424.80

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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.