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Finding the Fourth Proportional to 336.76, 502.23 and 288.32

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Solution

The fourth proportional to 336.76, 502.23 and 288.32 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.76 : 502.23 = 288.32 : x
  2. Step 2: Convert to fraction form
    336.76/502.23 = 288.32/x
  3. Step 3: Cross multiply
    336.76x = 502.23 × 288.32
  4. Step 4: Simplify right side
    336.76x = 144,802.95
  5. Step 5: Solve for x
    x = 144,802.95/336.76
  6. Step 6: Final answer
    x = 429.99

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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.