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Finding the Fourth Proportional to 469.02, 702.19 and 263.05

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Solution

The fourth proportional to 469.02, 702.19 and 263.05 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.02 : 702.19 = 263.05 : x
  2. Step 2: Convert to fraction form
    469.02/702.19 = 263.05/x
  3. Step 3: Cross multiply
    469.02x = 702.19 × 263.05
  4. Step 4: Simplify right side
    469.02x = 184,711.08
  5. Step 5: Solve for x
    x = 184,711.08/469.02
  6. Step 6: Final answer
    x = 393.82

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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.