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Finding the Fourth Proportional to 369.98, 508.95 and 355.00

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Solution

The fourth proportional to 369.98, 508.95 and 355.00 is: 488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.98 : 508.95 = 355.00 : x
  2. Step 2: Convert to fraction form
    369.98/508.95 = 355.00/x
  3. Step 3: Cross multiply
    369.98x = 508.95 × 355.00
  4. Step 4: Simplify right side
    369.98x = 180,676.93
  5. Step 5: Solve for x
    x = 180,676.93/369.98
  6. Step 6: Final answer
    x = 488.34

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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.