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Finding the Fourth Proportional to 440.19, 607.34 and 298.66

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Solution

The fourth proportional to 440.19, 607.34 and 298.66 is: 412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.19 : 607.34 = 298.66 : x
  2. Step 2: Convert to fraction form
    440.19/607.34 = 298.66/x
  3. Step 3: Cross multiply
    440.19x = 607.34 × 298.66
  4. Step 4: Simplify right side
    440.19x = 181,385.13
  5. Step 5: Solve for x
    x = 181,385.13/440.19
  6. Step 6: Final answer
    x = 412.07

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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.