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Finding the Fourth Proportional to 335.40, 500.13 and 313.98

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Solution

The fourth proportional to 335.40, 500.13 and 313.98 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.40 : 500.13 = 313.98 : x
  2. Step 2: Convert to fraction form
    335.40/500.13 = 313.98/x
  3. Step 3: Cross multiply
    335.40x = 500.13 × 313.98
  4. Step 4: Simplify right side
    335.40x = 157,030.82
  5. Step 5: Solve for x
    x = 157,030.82/335.40
  6. Step 6: Final answer
    x = 468.19

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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.