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Finding the Fourth Proportional to 511.02, 705.02 and 311.77

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Solution

The fourth proportional to 511.02, 705.02 and 311.77 is: 430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.02 : 705.02 = 311.77 : x
  2. Step 2: Convert to fraction form
    511.02/705.02 = 311.77/x
  3. Step 3: Cross multiply
    511.02x = 705.02 × 311.77
  4. Step 4: Simplify right side
    511.02x = 219,803.10
  5. Step 5: Solve for x
    x = 219,803.10/511.02
  6. Step 6: Final answer
    x = 430.13

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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.