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Finding the Fourth Proportional to 313.88, 468.42 and 274.93

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Solution

The fourth proportional to 313.88, 468.42 and 274.93 is: 410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.88 : 468.42 = 274.93 : x
  2. Step 2: Convert to fraction form
    313.88/468.42 = 274.93/x
  3. Step 3: Cross multiply
    313.88x = 468.42 × 274.93
  4. Step 4: Simplify right side
    313.88x = 128,780.51
  5. Step 5: Solve for x
    x = 128,780.51/313.88
  6. Step 6: Final answer
    x = 410.29

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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.