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Finding the Fourth Proportional to 368.84, 553.40 and 288.35

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Solution

The fourth proportional to 368.84, 553.40 and 288.35 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.84 : 553.40 = 288.35 : x
  2. Step 2: Convert to fraction form
    368.84/553.40 = 288.35/x
  3. Step 3: Cross multiply
    368.84x = 553.40 × 288.35
  4. Step 4: Simplify right side
    368.84x = 159,570.84
  5. Step 5: Solve for x
    x = 159,570.84/368.84
  6. Step 6: Final answer
    x = 432.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.