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Finding the Fourth Proportional to 336.76, 464.50 and 313.46

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Solution

The fourth proportional to 336.76, 464.50 and 313.46 is: 432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.76 : 464.50 = 313.46 : x
  2. Step 2: Convert to fraction form
    336.76/464.50 = 313.46/x
  3. Step 3: Cross multiply
    336.76x = 464.50 × 313.46
  4. Step 4: Simplify right side
    336.76x = 145,602.17
  5. Step 5: Solve for x
    x = 145,602.17/336.76
  6. Step 6: Final answer
    x = 432.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.