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Finding the Fourth Proportional to 368.40, 507.78 and 251.76

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Solution

The fourth proportional to 368.40, 507.78 and 251.76 is: 347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 507.78 = 251.76 : x
  2. Step 2: Convert to fraction form
    368.40/507.78 = 251.76/x
  3. Step 3: Cross multiply
    368.40x = 507.78 × 251.76
  4. Step 4: Simplify right side
    368.40x = 127,838.69
  5. Step 5: Solve for x
    x = 127,838.69/368.40
  6. Step 6: Final answer
    x = 347.01

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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.