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Finding the Fourth Proportional to 354.02, 488.40 and 237.77

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Solution

The fourth proportional to 354.02, 488.40 and 237.77 is: 328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.02 : 488.40 = 237.77 : x
  2. Step 2: Convert to fraction form
    354.02/488.40 = 237.77/x
  3. Step 3: Cross multiply
    354.02x = 488.40 × 237.77
  4. Step 4: Simplify right side
    354.02x = 116,126.87
  5. Step 5: Solve for x
    x = 116,126.87/354.02
  6. Step 6: Final answer
    x = 328.02

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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.