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Finding the Fourth Proportional to 368, 507.83 and 210.64

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Solution

The fourth proportional to 368, 507.83 and 210.64 is: 290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368 : 507.83 = 210.64 : x
  2. Step 2: Convert to fraction form
    368/507.83 = 210.64/x
  3. Step 3: Cross multiply
    368x = 507.83 × 210.64
  4. Step 4: Simplify right side
    368x = 106,969.31
  5. Step 5: Solve for x
    x = 106,969.31/368
  6. Step 6: Final answer
    x = 290.68

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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.