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Finding the Fourth Proportional to 320.64, 478.62 and 275.28

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Solution

The fourth proportional to 320.64, 478.62 and 275.28 is: 410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.64 : 478.62 = 275.28 : x
  2. Step 2: Convert to fraction form
    320.64/478.62 = 275.28/x
  3. Step 3: Cross multiply
    320.64x = 478.62 × 275.28
  4. Step 4: Simplify right side
    320.64x = 131,754.51
  5. Step 5: Solve for x
    x = 131,754.51/320.64
  6. Step 6: Final answer
    x = 410.91

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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.