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Finding the Fourth Proportional to 340.48, 507.81 and 334.63

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Solution

The fourth proportional to 340.48, 507.81 and 334.63 is: 499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.48 : 507.81 = 334.63 : x
  2. Step 2: Convert to fraction form
    340.48/507.81 = 334.63/x
  3. Step 3: Cross multiply
    340.48x = 507.81 × 334.63
  4. Step 4: Simplify right side
    340.48x = 169,928.46
  5. Step 5: Solve for x
    x = 169,928.46/340.48
  6. Step 6: Final answer
    x = 499.08

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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.