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Finding the Fourth Proportional to 368.06, 507.60 and 284.90

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Solution

The fourth proportional to 368.06, 507.60 and 284.90 is: 392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.06 : 507.60 = 284.90 : x
  2. Step 2: Convert to fraction form
    368.06/507.60 = 284.90/x
  3. Step 3: Cross multiply
    368.06x = 507.60 × 284.90
  4. Step 4: Simplify right side
    368.06x = 144,612.70
  5. Step 5: Solve for x
    x = 144,612.70/368.06
  6. Step 6: Final answer
    x = 392.91

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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.