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Finding the Fourth Proportional to 336.08, 506.62 and 313.78

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Solution

The fourth proportional to 336.08, 506.62 and 313.78 is: 473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.08 : 506.62 = 313.78 : x
  2. Step 2: Convert to fraction form
    336.08/506.62 = 313.78/x
  3. Step 3: Cross multiply
    336.08x = 506.62 × 313.78
  4. Step 4: Simplify right side
    336.08x = 158,967.22
  5. Step 5: Solve for x
    x = 158,967.22/336.08
  6. Step 6: Final answer
    x = 473.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.