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Finding the Fourth Proportional to 333.60, 498.20 and 288.08

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Solution

The fourth proportional to 333.60, 498.20 and 288.08 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.60 : 498.20 = 288.08 : x
  2. Step 2: Convert to fraction form
    333.60/498.20 = 288.08/x
  3. Step 3: Cross multiply
    333.60x = 498.20 × 288.08
  4. Step 4: Simplify right side
    333.60x = 143,521.46
  5. Step 5: Solve for x
    x = 143,521.46/333.60
  6. Step 6: Final answer
    x = 430.22

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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.