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Finding the Fourth Proportional to 500.13, 750.20 and 256.53

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Solution

The fourth proportional to 500.13, 750.20 and 256.53 is: 384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.13 : 750.20 = 256.53 : x
  2. Step 2: Convert to fraction form
    500.13/750.20 = 256.53/x
  3. Step 3: Cross multiply
    500.13x = 750.20 × 256.53
  4. Step 4: Simplify right side
    500.13x = 192,448.81
  5. Step 5: Solve for x
    x = 192,448.81/500.13
  6. Step 6: Final answer
    x = 384.80

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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.