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Finding the Fourth Proportional to 336.30, 501.50 and 313.22

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Solution

The fourth proportional to 336.30, 501.50 and 313.22 is: 467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.30 : 501.50 = 313.22 : x
  2. Step 2: Convert to fraction form
    336.30/501.50 = 313.22/x
  3. Step 3: Cross multiply
    336.30x = 501.50 × 313.22
  4. Step 4: Simplify right side
    336.30x = 157,079.83
  5. Step 5: Solve for x
    x = 157,079.83/336.30
  6. Step 6: Final answer
    x = 467.08

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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.