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Finding the Fourth Proportional to 313.68, 430.14 and 284.40

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Solution

The fourth proportional to 313.68, 430.14 and 284.40 is: 389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.68 : 430.14 = 284.40 : x
  2. Step 2: Convert to fraction form
    313.68/430.14 = 284.40/x
  3. Step 3: Cross multiply
    313.68x = 430.14 × 284.40
  4. Step 4: Simplify right side
    313.68x = 122,331.82
  5. Step 5: Solve for x
    x = 122,331.82/313.68
  6. Step 6: Final answer
    x = 389.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.