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Finding the Fourth Proportional to 328.55, 493.36 and 314.51

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Solution

The fourth proportional to 328.55, 493.36 and 314.51 is: 472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.55 : 493.36 = 314.51 : x
  2. Step 2: Convert to fraction form
    328.55/493.36 = 314.51/x
  3. Step 3: Cross multiply
    328.55x = 493.36 × 314.51
  4. Step 4: Simplify right side
    328.55x = 155,163.40
  5. Step 5: Solve for x
    x = 155,163.40/328.55
  6. Step 6: Final answer
    x = 472.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.