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Finding the Fourth Proportional to 368.40, 511.68 and 365.04

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Solution

The fourth proportional to 368.40, 511.68 and 365.04 is: 507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.40 : 511.68 = 365.04 : x
  2. Step 2: Convert to fraction form
    368.40/511.68 = 365.04/x
  3. Step 3: Cross multiply
    368.40x = 511.68 × 365.04
  4. Step 4: Simplify right side
    368.40x = 186,783.67
  5. Step 5: Solve for x
    x = 186,783.67/368.40
  6. Step 6: Final answer
    x = 507.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.