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Finding the Fourth Proportional to 368.00, 507.80 and 210.66

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Solution

The fourth proportional to 368.00, 507.80 and 210.66 is: 290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.00 : 507.80 = 210.66 : x
  2. Step 2: Convert to fraction form
    368.00/507.80 = 210.66/x
  3. Step 3: Cross multiply
    368.00x = 507.80 × 210.66
  4. Step 4: Simplify right side
    368.00x = 106,972.09
  5. Step 5: Solve for x
    x = 106,972.09/368.00
  6. Step 6: Final answer
    x = 290.69

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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.