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Finding the Fourth Proportional to 440.08, 607.28 and 284.80

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Solution

The fourth proportional to 440.08, 607.28 and 284.80 is: 393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.08 : 607.28 = 284.80 : x
  2. Step 2: Convert to fraction form
    440.08/607.28 = 284.80/x
  3. Step 3: Cross multiply
    440.08x = 607.28 × 284.80
  4. Step 4: Simplify right side
    440.08x = 172,953.34
  5. Step 5: Solve for x
    x = 172,953.34/440.08
  6. Step 6: Final answer
    x = 393.00

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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.