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Finding the Fourth Proportional to 298.74, 445.07 and 288.98

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Solution

The fourth proportional to 298.74, 445.07 and 288.98 is: 430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.74 : 445.07 = 288.98 : x
  2. Step 2: Convert to fraction form
    298.74/445.07 = 288.98/x
  3. Step 3: Cross multiply
    298.74x = 445.07 × 288.98
  4. Step 4: Simplify right side
    298.74x = 128,612.66
  5. Step 5: Solve for x
    x = 128,612.66/298.74
  6. Step 6: Final answer
    x = 430.52

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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.