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Finding the Fourth Proportional to 402.99, 555.77 and 314.51

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Solution

The fourth proportional to 402.99, 555.77 and 314.51 is: 433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.99 : 555.77 = 314.51 : x
  2. Step 2: Convert to fraction form
    402.99/555.77 = 314.51/x
  3. Step 3: Cross multiply
    402.99x = 555.77 × 314.51
  4. Step 4: Simplify right side
    402.99x = 174,790.87
  5. Step 5: Solve for x
    x = 174,790.87/402.99
  6. Step 6: Final answer
    x = 433.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.