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Finding the Fourth Proportional to 529.02, 730.02 and 298.77

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Solution

The fourth proportional to 529.02, 730.02 and 298.77 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.02 : 730.02 = 298.77 : x
  2. Step 2: Convert to fraction form
    529.02/730.02 = 298.77/x
  3. Step 3: Cross multiply
    529.02x = 730.02 × 298.77
  4. Step 4: Simplify right side
    529.02x = 218,108.08
  5. Step 5: Solve for x
    x = 218,108.08/529.02
  6. Step 6: Final answer
    x = 412.29

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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.