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Finding the Fourth Proportional to 334.99, 502.20 and 152.32

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Solution

The fourth proportional to 334.99, 502.20 and 152.32 is: 228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.99 : 502.20 = 152.32 : x
  2. Step 2: Convert to fraction form
    334.99/502.20 = 152.32/x
  3. Step 3: Cross multiply
    334.99x = 502.20 × 152.32
  4. Step 4: Simplify right side
    334.99x = 76,495.10
  5. Step 5: Solve for x
    x = 76,495.10/334.99
  6. Step 6: Final answer
    x = 228.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.