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Finding the Fourth Proportional to 510.22, 704.16 and 313.86

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Solution

The fourth proportional to 510.22, 704.16 and 313.86 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.22 : 704.16 = 313.86 : x
  2. Step 2: Convert to fraction form
    510.22/704.16 = 313.86/x
  3. Step 3: Cross multiply
    510.22x = 704.16 × 313.86
  4. Step 4: Simplify right side
    510.22x = 221,007.66
  5. Step 5: Solve for x
    x = 221,007.66/510.22
  6. Step 6: Final answer
    x = 433.16

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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.